Yes. I hesitate to even use the word "left" at all in that respect. Its the bourgeoisie that have "embraced identity and gender politics to an extraordinary degree " not the left whatever that might be.
If you don't believe; or at least don't pretend to believe the latest pronunciation from the priests of the identity cult such as the nonsense that a woman can have a penis your're an uncivilised, uncultivated, unspeakable monster who 'hates" because it's in your nature: probably "right wing" and well, lets face it it's your nature because you are vulgar and working class.
The bourgeoisie have allowed themselves to be persuaded that they are a bit "better than that"... like Lyndon Johnston's comments about the advantages of convincing the lowest white man that's he's better that the best coloured man: you just give them someone to look down to and they don't notice you picking their pockets too.